HW 5

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DePaul University *

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330

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Finance

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Apr 3, 2024

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Question 1 The MD Fund has an expected return of 14% and a standard deviation of 20%. The risk-free rate is 4%. What is the reward-to-volatility (Sharpe) ratio for the MD Fund?
Question 2 Which of the following statements is not correct about the capital allocation line (CAL)? It is a plot of risk-return combinations available by varying allocation between risky and risk-free assets. One can achieve the maximum possible return along the capital allocation line by investing 100% in the risky asset. The slope of the capital allocation line is the Sharpe ratio. Capital allocation line using the market index portfolio as the risky asset is called the capital market line (CML).
Question 3 Consider a Treasury bill with a rate of return of 5% and the following risky securities: Security A: E(r) = 15%; SD(r)= 20% Security B: E(r) = 10%; SD(r) = 15% Security C: E(r) = 12%; SD(r) = 32% Security D: E(r) = 13%; SD(r) = 25% The investor must develop a complete portfolio by combining the risk-free asset with one of the securities mentioned above. The security the investor should choose as part of her complete portfolio to achieve the best Capital Allocation Line would be _________. (Hint: Which one has the highest Sharpe ratio?)
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Question 4 Risk that can be eliminated through diversification is called ______ risk. systematic diversifiable total market
Question 5 Firm-specific risk is also called _______________ and ______________. systematic risk; diversifiable risk systematic risk; nondiversifiable risk nonsystematic risk; market risk unique risk; diversifiable risk
Question 6 According to the separation property, portfolio choice can be separated into two tasks consisting of __________ and __________. choosing which risky assets an investor prefers according to the investor's risk-aversion level; minimizing the CAL by lending at the risk-free rate identifying the investor's degree of risk aversion; choosing securities from industry groups that are consistent with the investor's risk profile identifying all investor imposed constraints; identifying the set of securities that conform to the investor's constraints and offer the best risk-return trade-offs identifying the optimal risky portfolio; finding the best mix of the risky portfolio (optimal portfolio) and risk-free asset based on the investor's degree of risk aversion
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Question 7 Which of the following is true about the optimal risky portfolio? The investor's degree of risk aversion determines the optimal risky portfolio. The optimal risky portfolio is the risky portfolio that has the lowest standard deviation. The optimal risky portfolio is the risky portfolio that has the highest Sharpe ratio. The optimal risky portfolio is located below the efficient frontier.
Question 8 Diversification is more effective when security returns _________. have higher correlations have lower correlations are high are low
Question 9 You put half of your money in a stock that has an expected return of 14% and a standard deviation of 24%. You put the rest of your money in a bond that has an expected return of 6% and a standard deviation of 12%. The stock and bond have a correlation of .55. What is the variance of your portfolio?
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Question 10 (Continued from the previous question) You are forming a Capital Allocation Line (CAL) using the risk-free asset with a 4% return and the portfolio described in the previous question. What is the slope of the CAL?
Question 11 Beta is a measure of the sensitivity of security's returns to _________. market returns firm-specific risk inflations T-bill rates
Question 12 Here are data on two companies. The T-bill rate is 4% and the market risk premium is 6%. What would be the required return for $1 Discount Store according to the capital asset pricing model (CAPM)? Company $1 Discount Store Everything $5 Actual return 12% 11% Standard deviation of returns 8% 10% Beta 1.5 1.0
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